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Example 1: Application. The formula C = d gives the circumference of a circle C in terms of diameter d . The circumference of a bowl is 18 inches. What is the bowl's diameter? Leave the symbol in your answer. Check It Out! Example 2.
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Example 1: Application The formula C = d gives the circumference of a circle C in terms of diameter d. The circumference of a bowl is 18 inches. What is the bowl's diameter? Leave the symbol in your answer.
Check It Out! Example 2 Solve the formula d = rt for t. Find the time in hours that it would take Ernst Van Dyk to travel 26.2 miles if his average speed was 18 miles per hour. d = rt
A = bh Example 3: Solving Formulas for a Variable The formula for the area of a triangle is A = bh, where b is the length of the base, and h is the height. Solve for h.
Example 4: Solving Formulas for a Variable The formula for a person’s typing speed is ,where s is speed in words per minute, w is number of words typed, e is number of errors, and m is number of minutes typing. Solve for e.
Check It Out! Example 5 The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity, g is acceleration due to gravity, and t is time. Solve for i. f = i – gt
Solve for V Check It Out! Example 6 and 7 Solve 5 – b = 2t for t.
Lesson Quiz: Part 1 Solve for the indicated variable. 1. 2. 3. 2x + 7y = 14 for y 4. for h P = R – C for C for m 5. for C
Lesson Quiz: Part 2 Euler’s formula, V – E + F = 2, relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. 6. Solve Euler’s formula for F. 7. How many faces does a polyhedron with 8 vertices and 12 edges have?